Subtle features of the reaction front formation in the A+B-->0 reaction are reported for the initially random and equal A+B reactant distribution. Three nonclassical parameters (initial linewidth, minimum, and maximum), for each interparticle gap and nearest neighbor distance distributions, are derived, as a function of time, using Monte Carlo simulations. These empirical front measures and the...

We propose a scheme for using an unmodulated and unmeasured spin chain as a channel for short distance quantum communications. The state to be transmitted is placed on one spin of the chain and received later on a distant spin with some fidelity. We first obtain simple expressions for the fidelity of quantum state transfer and the amount of entanglement sharable between any two sites of an arbi...

The nearest neighbor contacts between the two halves of an N-site lattice self-avoiding walk offer an unusual example of scaling random geometry: for N-->infinity they are strictly finite in number but their radius of gyration R(c) is power law distributed proportional to R(-tau)(c), where tau>1 is a novel exponent characterizing universal behavior. A continuum of diverging length scales is ass...

Recent genomic surveys have produced high-resolution haplotype information, but only in a small number of human populations. We report haplotype structure across 12 Mb of DNA sequence in 927 individuals representing 52 populations. The geographic distribution of haplotypes reflects human history, with a loss of haplotype diversity as distance increases from Africa. Although the extent of linkag...

But what about high dimensions? What is the density of the points near the mean? And how far away is the average point from it’s component mean? Let us address this questions for a single isotropic Gaussian distribution. First, note that E[‖x‖] = nσ. Hence, on average, we expect a point to be rather far from mean, but let us quantify this. Recall, that the distribution of ‖x‖ is a χn distributi...

In the past year, data about the level and nature of linkage disequilibrium between alleles of tightly linked SNPs have started to become available. Furthermore, increasing evidence of allelic heterogeneity at the loci predisposing to complex disease has been observed, which has lead to initial attempts to develop methods of linkage disequilibrium detection allowing for this difficulty. It has ...

Self-assembly and self-selection of a single linkage isomer of a mixed-metal molecular triangle with ferrocene functionality have been achieved using an ambidentate ligand, and the product was characterized by multinuclear NMR spectroscopy and X-ray single crystal structure determination.

background: indigenous chickens could serve as precious genetic resources that should be considered in conservation and breeding programs. the major histocompatibility complex (mhc) has a strong association to disease resistance/susceptibility, production and reproduction traits in chicken. therefore, identifying its polymorphism in populations under selective breeding could be used for selecti...

This work draws its inspiration from three important sources of research on dissimilarity-based clustering and intertwines those three threads into a consistent principled functorial theory of clustering. Those three are the overlapping clustering of Jardine and Sibson, the functorial approach of Carlsson and Mémoli to partition-based clustering, and the Isbell/Dress school’s study of injective...